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Finding the Fourth Proportional to 313.27, 467.61 and 276.32

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Solution

The fourth proportional to 313.27, 467.61 and 276.32 is: 412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.27 : 467.61 = 276.32 : x
  2. Step 2: Convert to fraction form
    313.27/467.61 = 276.32/x
  3. Step 3: Cross multiply
    313.27x = 467.61 × 276.32
  4. Step 4: Simplify right side
    313.27x = 129,210.47
  5. Step 5: Solve for x
    x = 129,210.47/313.27
  6. Step 6: Final answer
    x = 412.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.